Search
Subject Categories:
 Art (462)
 Asperger's (32)
 Blogging (11)
 China and the Han (9)
 eBay (3)
 Education (93)
 Fiction (29)
 Geography (27)
 History (38)
 Humor (49)
 Life (363)
 Mandalas (126)
 Mathematics (1,278)
 Mental Health (74)
 Music (43)
 Mysteries (16)
 Politics (121)
 Quotations (64)
 Religion (58)
 Satire (12)
 Science and Scientists (120)
 Follow RobertLovesPi.net on WordPress.com
MostViewed Posts, Recently:

Recent Posts
 Saturnian Rhombic Dodecahedron
 The Sun, Earth, and Moon Adorning the Faces of a Great Rhombicosidodecahedron
 Octahedra and Truncated Cubes Can Fill Space Without Leaving Any Gaps
 Octahedra and Cuboctahedra Can Fill Space Without Leaving Any Gaps
 Spectral Circles #3
 A Compound of the Great Stellated Dodecahedron and the Great Dodecahedron
 One Dozen Icosahedra
 Tessellation of Rhombi and Tetraconcave Octagons
 A Radial Tessellation Using Three Types of Rhombi
 A Radial Tessellation Using Two Types of Rhombi
Explore RobertLovesPi By Topic
 Arkansas
 Art
 Asperger's
 astronomy
 atheism
 atheist
 chemistry
 chiral
 circle
 cluster
 compound
 cube
 cuboctahedron
 dodecahedron
 dual
 Education
 enneagon
 faceted
 faceting
 geometric
 geometrical
 geometrical art
 geometry
 Golden Ratio
 hexagon
 Humor
 humour
 icosahedron
 icosidodecahedral
 icosidodecahedron
 kite
 life
 mandala
 mandalas
 math
 mathematical
 mathematical art
 Mathematics
 music
 nonagon
 octagon
 octahedron
 op art
 pentagon
 physics
 politics
 polygon
 polyhedra
 polyhedral
 polyhedron
 president
 quotation
 quote
 religion
 rhombi
 rhombic dodecahedron
 rhombicosidodecahedron
 rhombic triacontahedron
 rhombus
 school
 science
 snub dodecahedron
 star
 stellated
 stellation
 symmetry
 tessellation
 tetrahedron
 tiling
 triangle
 Trump
 truncated icosahedron
 USA
 words
 zonohedron
Hit Counter
 355,662 hits
Tag Archives: rhombic
A Rhombic Dodecahedron, Made of Icosahedra, and Tall Triangular Antiprisms
Software used: Stella 4d, available at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, rhombic
Leave a comment
A Flock of 32 Rhombic Triacontahedra
Software used: Stella 4d, available at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, rhombic, triacontahedra, triacontahedron
Leave a comment
A Rhombic Cage
This cage is made of 36 identical rhombi, and has six openings. I made it with Stella 4d, a program available at this website.
Posted in Art, Mathematics
Tagged Art, cage, geometric, geometrical, mathematical, rhombi, rhombic, rhombus
2 Comments
Partially Truncated Platonic and Rhombic Dodecahedra
Each of these dodecahedra were modified by truncations at exactly four of their threevalent vertices. As a result, each has four equilateral triangles as faces. In the one above, the Platonic dodecahedron’s pentagonal faces are modified into a dozen irregular … Continue reading
Posted in Mathematics
Tagged dodecahedra, dodecahedron, geometry, Mathematics, partial, Platonic, polyhedra, polyhedron, rhombic, truncated, truncation
Leave a comment
A Rhombic Ring of Icosahedra, Leading to a Rhombic Dodecahedron Made of Icosahedra
As it turns out, eight icosahedra form this rhombic ring, by augmentation: Measured from the centers of these icosahedra, the long and short diagonal of this rhombus are in a (√2):1 ratio. How do I know this? Because that’s the … Continue reading
Posted in Mathematics
Tagged geometry, icosahedra, icosahedron, lattice, Mathematics, polyhedra, polyhedron, rhombic, rhombic dodecahedra, rhombic dodecahedron, rhombus, ring
2 Comments
A Rhombic Enneacontahedron, Augmented with Sixty Rhombic Dodecahedra, Along with Its Dual
The dual to this clusterpolyhedron appears below. Both virtual models were created using Stella 4d: Polyhedron Navigator, software available here.
Posted in Mathematics
Tagged dodecahedron, dual, enneacontahedron, geometry, Mathematics, polyhedra, polyhedron, rhombic
Leave a comment
The Rhombic Dodecahedron / Rhombic Triacontahedron Compound
Stella 4d has this in its builtin library. You can try it at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged compound, dodecahedron, geometry, Mathematics, polyhedra, polyhedral, rhombic, rhombic triacontahedron
Leave a comment